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Host Institution:
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La Trobe University
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Title of Seminar:
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Prediction in measurement error models
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Speaker's Name:
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Dr Aurore Delaigle
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Speaker's Institution:
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University of Melbourne, Australia
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Time and Date:
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Friday 24 September 2010 at 11:00 am
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Seminar Abstract:
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Predicting Y from a future X based on data (X_i,Y_i) is a fundamental inference problem. When X is observed accurately, the problem is that of standard regression estimation of E(Y|X).
When the data X_i and future X are measured with error, prediction is sometimes less standard. With W denoting the future X measurement, prediction of Y requires estimation of E(Y|W).
This is complicated when measurements are made under different conditions, so that errors in X_i and X are not identically distributed. We study this problem nonparametrically showing that convergence rates of estimators of E(Y|W) can vary from root-n to much slower nonparametric rates.
We develop highly-adaptive, data-driven methods that perform well as illustrated by an interesting application in nutritional epidemiology.
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Seminar Convenor:
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AGR IT support:
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